Symmetry inheritance of scalar fields

Abstract

Matter fields don't necessarily have to share the symmetries with the spacetime they live in. When this happens, we speak of the symmetry inheritance of fields. In this paper we classify the obstructions of symmetry inheritance by the scalar fields, both real and complex, and look more closely at the special cases of stationary and axially symmetric spacetimes. Since the symmetry noninheritance is present in the scalar fields of boson stars and may enable the existence of the black hole scalar hair, our results narrow the possible classes of such solutions. Finally, we define and analyse the symmetry noninheritance contributions to Komar mass and angular momentum of the black hole scalar hair.

arXiv comment22 pages; revised, published version with new results about non-canonical scalar fields

References in corpus (25)

• k-Inflation
• Essentials of k-essence
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• Kerr black holes with scalar hair
• TOPICAL REVIEW: General relativistic boson stars
• Black hole hair in generalized scalar-tensor gravity
• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• Exact black hole solution with a minimally coupled scalar field
• Testing the No-Hair Theorem with Event Horizon Telescope Observations of Sagittarius A*
• DBI-essence
• A new spin on black hole hair
• Models of rotating boson stars and geodesics around them: new type of orbits
• New no-scalar-hair theorem for black-holes
• Non-Existence of Black Holes with Non-Canonical Scalar Fields
• Stationary Black Holes with Time-Dependent Scalar Fields
• Black holes cannot support conformal scalar hair
• Dressing a black hole with non-minimally coupled scalar field hair
• Axially symmetric static scalar solitons and black holes with scalar hair
• Gravitational Chern-Simons Lagrangians and black hole entropy
• "No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction
• Gravitational Chern-Simons Lagrangian terms and spherically symmetric spacetimes
• Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes
• On the existence of Killing vector fields
• Symmetries of spacetime and their relation to initial value problems
• Killing Horizons as Equipotential Hypersurfaces

Cited by in corpus (22)

• Dynamical Boson Stars
• Kerr black holes with self-interacting scalar hair: hairier but not heavier
• Multi-field, multi-frequency bosonic stars and a stabilization mechanism
• Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
• Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
• Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
• Self-similarity in Einstein-Maxwell-dilaton theories and critical collapse
• Rotating multistate boson stars
• Hairy AdS Solitons
• Symmetry of Brans-Dicke gravity as a novel solution-generating technique
• Nonlinear electromagnetic fields in strictly stationary spacetimes
• Sine-Gordon solitonic scalar stars and black holes
• Towards rotating non-circular black holes in string-inspired gravity
• Constraints on the symmetry noninheriting scalar black hole hair
• Nonlinear electromagnetic fields and symmetries
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Breaking of scaling symmetry by massless scalar on de Sitter
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Generalizations and challenges for the spacetime block-diagonalization
• High precision numerical sequences of rotating hairy black holes
• Stationary spacetimes with time-dependent real scalar fields
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair